Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	301×	body	80	valid
9.0ms	323×	body	80	nan

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
158.0ms	(+ (- 1.0 z) (log z))
73.0ms	(* y (+ (- 1.0 z) (log z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune215.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* (- 1.0 z) y))
0.1b	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
0.2b	(* y (log z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

1.0ms	(fma x 0.5 (* (- 1.0 z) y))
4.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
4.0ms	(* y (log z))

series129.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma x 0.5 (* (- 1.0 z) y))
60.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
37.0ms	(* y (log z))

simplify122.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	253	378
1	917	338
2	4733	319
3	5001	319

prune182.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Merged error: 0b

Counts

76 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

6.0ms	(* y (* 2 (log (cbrt z))))
10.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series555.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* y (* 2 (log (cbrt z))))
99.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
176.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify55.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	459	916
1	1492	786
2	5002	703

prune482.0ms

Filtered

133 candidates to 103 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	134	5	139

Merged error: 0b

Counts

139 → 5

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (cbrt z))
5.0b	(pow z 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt z)
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
2.0ms	(cbrt (cbrt z))
2.0ms	(pow z 1/3)

series865.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
275.0ms	(cbrt (* (cbrt z) (cbrt z)))
238.0ms	(cbrt (cbrt z))
173.0ms	(pow z 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	171	244
1	497	214
2	1760	205
3	5001	200

prune376.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes202.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

337.0ms	9179×	body	80	valid
274.0ms	9292×	body	80	nan